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Golub, Gene Howard (b. 1932 d. 2007)

Author ID: golub.gene-h Recent zbMATH articles by "Golub, Gene Howard"
Published as: Golub, Gene H.; Golub, G. H.; Golub, Gene; Golub, G.
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 258 Publications since 1961, including 14 Books
9 Contributions as Editor
Biographic References: 5 Publications
Co-Authors: 186 Co-Authors with 244 Joint Publications
6,135 Co-Co-Authors
all top 5

Co-Authors

18 single-authored
10 Van Loan, Charles Francis
9 Boley, Daniel L.
8 Bai, Zhongzhi
8 Concus, Paul
8 O’Leary, Dianne P.
7 Gander, Walter
7 Meurant, Gérard A.
7 Milanfar, Peyman
6 Calvetti, Daniela
6 Elhay, Sylvan
6 Elman, Howard C.
6 Reichel, Lothar
5 Chan, Tony Fan-Cheong
5 Chu, Moody T.
5 Greif, Chen
5 Kautsky, Jaroslav
5 Law, Kincho H.
5 Plemmons, Robert James
5 Van Dooren, Paul M.
5 von Matt, Urs
5 Zha, Hongyuan
4 Arbenz, Peter
4 Bartels, Richard Harold
4 Benzi, Michele
4 Ortega, James M.
4 Van Barel, Marc
4 Vandebril, Raf
4 Varah, James M.
4 Zhang, Tong
3 Bai, Zhaojun
3 Bertaccini, Daniele
3 Chandrasekaran, Shivkumar
3 Fischer, Bernd
3 Funderlic, Robert E.
3 Gu, Ming
3 Hansen, Per Christian
3 LeVeque, Randall J.
3 Luk, Franklin T.
3 Nash, Stephen G.
3 Ng, Michael Kwok-Po
3 Overton, Michael L.
3 Saunders, Michael A.
3 Sayed, Ali H.
3 Serra-Capizzano, Stefano
3 Strebel, Rolf
3 Van der Vorst, Henk Albertus
3 Wathen, Andrew John
3 Wilkinson, James Hardy
3 Ye, Qiang
3 Yuan, Jinyun
2 Berry, Michael W.
2 Björck, Åke
2 Buzbee, Billy L.
2 Chan, Raymond Hon-Fu
2 Chang, Xiaowen
2 Cuyt, Annie A. M.
2 Dahlquist, Germund
2 de Boor, Carl
2 De Moor, Bart L. R.
2 Elad, Michael
2 Fierro, Ricardo D.
2 Gautschi, Walter
2 Greenbaum, Anne
2 Gutknecht, Martin H.
2 Hald, Ole Hansen
2 Kågström, Bo
2 Lee, Chris P.
2 Li, Chi-Kwong
2 Liao, Li-Zhi
2 Mastronardi, Nicola
2 Mulet, Pep
2 Ram, Yitshak M.
2 Seneta, Eugene
2 Sølna, Knut
2 Stewart, Gilbert Wright
2 Tang, Wei-Pai
2 Underwood, Richard
2 Varga, Richard Steven
2 Verdonk, Brigitte M.
2 Widlund, Olof B.
2 Wu, Xiaonan
2 Zenios, Stefanos A.
2 Zhang, Zhenyue
1 Alter, Orly
1 Andersson, Lars-Erik
1 Baglama, James
1 Beckermann, Bernhard
1 Björk, Åke
1 Bochev, M. A.
1 Boutry, Gregory
1 Brent, Richard Peirce
1 Businger, P. A.
1 Carey, Cheryl M. M.
1 Cecilio, W. A. G.
1 Chu, Delin
1 Cline, Alan K.
1 Comon, Pierre
1 Cottle, Richard W.
1 Cuminato, José Alberto
1 Dorr, Fred W.
...and 88 more Co-Authors
all top 5

Serials

28 SIAM Journal on Matrix Analysis and Applications
16 BIT
15 Numerische Mathematik
15 Linear Algebra and its Applications
14 SIAM Journal on Scientific Computing
13 Mathematics of Computation
11 Numerical Algorithms
8 SIAM Journal on Numerical Analysis
5 Journal of Computational and Applied Mathematics
5 SIAM Review
4 SIAM Journal on Scientific and Statistical Computing
3 Systems & Control Letters
3 Communications of the ACM
3 Numerical Linear Algebra with Applications
2 Bulletin of the Australian Mathematical Society
2 IMA Journal of Numerical Analysis
2 Inverse Problems
2 Calcolo
2 Journal of Econometrics
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 IEEE Transactions on Image Processing
2 Internet Mathematics
2 Acta Numerica
2 Johns Hopkins Series in the Mathematical Sciences
1 The American Statistician
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Fluids
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 ACM Transactions on Mathematical Software
1 Aplikace Matematiky
1 Applied Mathematics and Optimization
1 Computing
1 IEEE Transactions on Automatic Control
1 IEEE Transactions on Computers
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Technometrics
1 SIAM Journal on Algebraic and Discrete Methods
1 Applied Numerical Mathematics
1 IEEE Transactions on Signal Processing
1 IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing
1 Journal of Statistical Computation and Simulation
1 Mitteilungen der Mathematischen Gesellschaft in Hamburg
1 Proceedings of the National Academy of Sciences of the United States of America
1 ETNA. Electronic Transactions on Numerical Analysis
1 Annals of Numerical Mathematics
1 Journal of the Society for Industrial & Applied Mathematics
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Berliner Studienreihe zur Mathematik
1 Collection de la Direction des Études et Recherches d’Électricité de France
1 The IMA Volumes in Mathematics and its Applications
1 ISNM. International Series of Numerical Mathematics
1 MAA Studies in Mathematics
1 NATO ASI Series. Series E. Applied Sciences
1 NATO ASI Series. Series F. Computer and Systems Sciences
1 Proceedings of Symposia in Applied Mathematics
1 Publications of the Mathematics Research Center, The University of Wisconsin - Madison
1 Texts and Readings in Mathematics
1 Annals of Mathematical Statistics
1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
1 Numerical Mathematics and Scientific Computation
1 Princeton Series in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

237 Publications have been cited 19,302 times in 13,549 Documents Cited by Year
Matrix computations. 3rd ed. Zbl 0865.65009
Golub, Gene; Van Loan, Charles F.
1996
Matrix computations. 2nd ed. Zbl 0733.65016
Golub, Gene H.; Van Loan, Charles F.
1989
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
2013
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
998
2005
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
938
1983
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
688
2003
Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059
Golub, Gene H.; Heath, Michael; Wahba, Grace
489
1979
Calculation of Gauss quadrature rules. Zbl 0179.21901
Golub, Gene H.; Welsch, John H.
377
1969
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
369
2004
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
293
2007
Calculating the singular values and pseudo-inverse of a matrix. Zbl 0194.18201
Golub, G.; Kahan, W.
276
1965
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
268
2004
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
268
1979
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
251
1994
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
243
2000
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
229
2005
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
218
1970
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
207
1999
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
196
1973
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
193
2008
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
192
1980
Some modified matrix eigenvalue problems. Zbl 0254.65027
Golub, Gene H.
183
1973
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
172
2001
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
170
1970
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
155
2001
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
149
2007
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903
Golub, Gene H.; Varga, Richard S.
148
1961
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
138
1965
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
137
2008
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
136
2007
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
131
2006
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
126
1974
Numerical methods for computing angles between linear subspaces. Zbl 0282.65031
Björck, Åke; Golub, Gene H.
125
1973
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
121
2005
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
117
2010
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
108
1965
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
104
1987
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
101
2003
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
100
1999
Block preconditioning for the conjugate gradient method. Zbl 0556.65022
Concus, P.; Golub, G. H.; Meurant, G.
98
1985
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
90
2002
The direct solution of the discrete Poisson equation on irregular regions. Zbl 0231.65083
Buzbee, B. L.; Dorr, F. W.; George, J. A.; Golub, G. H.
85
1971
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method. Zbl 0385.65048
Concus, P.; Golub, G. H.; O’Leary, D. P.
82
1978
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
80
2003
Matrices, moments and quadrature. Zbl 0795.65019
Golub, G. H.; Meurant, Gerard
79
1994
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
75
2004
The numerically stable reconstruction of a Jacobi matrix from spectral data. Zbl 0388.15010
de Boor, C.; Golub, G. H.
73
1978
Ill-conditioned eigensystems and the computation of the Jordan canonical form. Zbl 0341.65027
Golub, G. H.; Wilkinson, J. H.
70
1976
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
68
2003
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
64
1994
The Block Lanczos method for computing eigenvalues. Zbl 0407.68040
Golub, G. H.; Underwood, R.
63
1977
Iterative solution of linear systems. Zbl 0762.65019
Freund, Roland W.; Golub, Gene H.; Nachtigal, Noël M.
61
1992
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
58
2007
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
55
1998
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
51
2002
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
50
1999
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
50
2006
Quadratically constrained least squares and quadratic problems. Zbl 0745.65029
Golub, Gene H.; von Matt, Urs
50
1991
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
50
1996
Scientific computing. An introduction with parallel computing. Zbl 0790.65001
Golub, Gene; Ortega, James M.
50
1993
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
49
2000
The simplex method of linear programming using LU decomposition. Zbl 0181.19104
Bartels, R. H.; Golub, G. H.
49
1969
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
48
1999
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041
Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina
48
2005
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
47
2000
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
46
1987
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
46
1997
Some history of the conjugate gradient and Lanczos algorithms: 1948-1976. Zbl 0673.65017
Golub, Gene H.; O’Leary, Dianne P.
45
1989
A constrained eigenvalue problem. Zbl 0666.15006
Gander, Walter; Golub, Gene H.; von Matt, Urs
44
1989
Scientific computing and differential equations: an introduction to numerical methods. Rev. ed. Zbl 0749.65041
Golub, Gene H.; Ortega, James M.
43
1992
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
42
2000
Calculation of Gauss quadratures with multiple free and fixed knots. Zbl 0525.65010
Golub, G. H.; Kautsky, J.
41
1983
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
41
2000
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
40
1999
A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L.
39
1981
On the solution of large, structured linear complementarity problems: the block partitioned case. Zbl 0391.90087
Cottle, Richard W.; Golub, Gene H.; Sacher, Richard S.
38
1978
On the calculation of Jacobi matrices. Zbl 0512.65030
Kautsky, J.; Golub, G. H.
36
1983
Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. Zbl 0245.65043
Concus, Paul; Golub, Gene H.
36
1973
Imposing curvature restrictions on flexible functional forms. Zbl 0573.62098
Gallant, A. Ronald; Golub, Gene H.
36
1984
Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021
Elman, Howard C.; Golub, Gene H.
34
1990
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
32
1988
Note on the iterative refinement of least squares solution. Zbl 0156.16106
Golub, G. H.; Wilkinson, J. H.
32
1966
Estimates in quadratic formulas. Zbl 0822.65022
Golub, Gene H.; Strakoš, Zdeněk
32
1994
A generalized conjugate gradient method for nonsymmetric systems of linear equations. Zbl 0344.65020
Concus, Paul; Golub, Gene H.
31
1976
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
31
1974
Using the QR factorization and group inversion to compute, differentiate, and estimate the sensitivity of stationary probabilities for Markov chains. Zbl 0594.60072
Golub, Gene H.; Meyer, Carl D. jun.
31
1986
First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019
30
1988
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
30
1997
A rank-one reduction formula and its applications to matrix factorizations. Zbl 0844.65033
Chu, Moody T.; Funderlic, Robert E.; Golub, Gene H.
29
1995
Perturbation analysis of the canonical correlations of matrix pairs. Zbl 0811.15011
Golub, Gene H.; Zha, Hongyuan
28
1994
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
27
2008
A bibliography on semiseparable matrices. Zbl 1168.15312
Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N.
27
2005
A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038
Botchev, Mike A.; Golub, Gene H.
27
2006
The restricted singular value decomposition: Properties and applications. Zbl 0738.15006
De Moor, Bart L. R.; Golub, Gene H.
27
1991
Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H.
26
2004
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
26
1985
On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications. Zbl 0646.65033
Arbenz, Peter; Golub, Gene H.
25
1988
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
25
2000
Tikhonov regularization for large scale problems. Zbl 0927.65058
Golub, Gene H.; von Matt, Urs
25
1998
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
24
2000
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
2013
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
117
2010
Solving ellipsoid-constrained integer least squares problems. Zbl 1195.65049
Chang, Xiao-Wen; Golub, Gene H.
3
2010
The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments. Zbl 1169.65032
Golub, Gene; Uhlig, Frank
7
2009
A quasi-separable approach to solve the symmetric definite tridiagonal generalized eigenvalue problem. Zbl 1186.65046
Vandebril, Raf; Golub, Gene; van Barel, Marc
2
2009
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
193
2008
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
137
2008
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
27
2008
Continuous methods for symmetric generalized eigenvalue problems. Zbl 1140.65029
Gao, Xing-Bao; Golub, Gene H.; Liao, Li-Zhi
9
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
8
2008
Towards a backward perturbation analysis for data least squares problems. Zbl 1176.65047
Chang, X.-W.; Golub, G. H.; Paige, C. C.
2
2008
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
293
2007
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
149
2007
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
136
2007
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
58
2007
On the numerical condition of a generalized Hankel eigenvalue problem. Zbl 1121.65036
Beckermann, B.; Golub, G. H.; Labahn, G.
12
2007
Spectral analysis of a preconditioned iterative method for the convection-diffusion equation. Zbl 1140.65024
Bertaccini, Daniele; Golub, Gene H.; Serra-Capizzano, Stefano
12
2007
A hybrid approach combining Chebyshev filter and conjugate gradient for solving linear systems with multiple right-hand sides. Zbl 1151.65319
Golub, Gene H.; Ruiz, Daniel; Touhami, Ahmed
9
2007
A two-stage algorithm for computing PageRank and multistage generalizations. Zbl 1221.68041
Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A.
3
2007
A two-stage algorithm for computing pagerank and multistage generalizations. Zbl 1206.68050
Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A.
2
2007
Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031
Golub, Gene H.
1
2007
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
131
2006
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
50
2006
A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038
Botchev, Mike A.; Golub, Gene H.
27
2006
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
17
2006
Continuous methods for extreme and interior eigenvalue problems. Zbl 1092.65029
Golub, Gene H.; Liao, Li-Zhi
13
2006
On a generalized eigenvalue problem for nonsquare pencils. Zbl 1128.15004
Chu, Delin; Golub, Gene H.
11
2006
Some observations on local least squares. Zbl 1103.65041
Bartels, R. H.; Golub, G. H.; Samavati, F. F.
1
2006
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
998
2005
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
229
2005
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
121
2005
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041
Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina
48
2005
A bibliography on semiseparable matrices. Zbl 1168.15312
Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N.
27
2005
The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach. Zbl 1100.65035
Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman
19
2005
Multidimensional integral inversion, with applications in shape reconstruction. Zbl 1099.65128
Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte
14
2005
How to deduce a proper eigenvalue cluster from a proper singular value cluster in the nonnormal case. Zbl 1088.65031
Serra-Capizzano, Stefano; Bertaccini, Daniele; Golub, Gene H.
12
2005
A bibliography on semiseparable matrices. Zbl 1168.15306
Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola
8
2005
A subspace approximation method for the quadratic eigenvalue problem. Zbl 1079.65039
Holz, U. B.; Golub, G. H.; Law, K. H.
5
2005
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
369
2004
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
268
2004
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
75
2004
Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H.
26
2004
Shape from moments – an estimation theory perspective. Zbl 1369.62145
Elad, Michael; Milanfar, Peyman; Golub, Gene H.
16
2004
Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026
Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G.
10
2004
Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription. Zbl 1491.92048
Alter, Orly; Golub, Gene H.
1
2004
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
688
2003
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
101
2003
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
80
2003
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
68
2003
Scaling by binormalization. Zbl 1050.65049
Livne, Oren E.; Golub, Gene H.
8
2003
The spectrum of a modified linear pencil. Zbl 1054.65033
Elhay, S.; Golub, G. H.; Ram, Y. M.
2
2003
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
90
2002
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
51
2002
Symmetric-triangular decomposition and its applications. I: Theorems and algorithms. Zbl 1017.65020
Golub, Gene H.; Yuan, Jin-Yun
14
2002
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
4
2002
Object-oriented parallel algorithms for computing three-dimensional isopycnal flow. Zbl 1014.76056
Concus, Paul; Golub, Gene H.; Sun, Yong
1
2002
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
172
2001
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
155
2001
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
16
2001
Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. Zbl 1037.68784
Nguyen, Nhat; Milanfar, Peyman; Golub, Gene
15
2001
A computationally efficient superresolution image reconstruction algorithm. Zbl 1040.68567
Nguyen, Nhat; Milanfar, Peyman; Golub, Gene
11
2001
A parallel balance scheme for banded linear systems. Zbl 1055.65044
Golub, Gene H.; Sameh, Ahmed H.; Sarin, Vivek
6
2001
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
243
2000
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
49
2000
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
47
2000
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
42
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
41
2000
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
25
2000
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
24
2000
Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations. Zbl 0948.65033
Golub, Gene H.; Zhang, Zhenyue; Zha, Hongyuan
16
2000
Computing the SVD of a general matrix product/quotient. Zbl 0969.65032
Golub, Gene; Sølna, Knut; Van Dooren, Paul
9
2000
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
207
1999
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
100
1999
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
50
1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
48
1999
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
40
1999
On some eigenvector-eigenvalue relations. Zbl 0929.15008
Elhay, S.; Gladwell, G. M. L.; Golub, G. H.; Ram, Y. M.
10
1999
An efficient algorithm for a bounded errors-in-variables model. Zbl 0957.65070
Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H.
8
1999
Subspace iterative methods for eigenvalue problems. Zbl 0932.65044
Zhang, T.; Golub, G. H.; Law, K. H.
2
1999
Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22–29, 1998. Dedicated to the memory of Günther Hämmerlin. Zbl 0919.00065
2
1999
A computable error bound for matrix functionals. Zbl 0937.65054
Calvetti, D.; Golub, G. H.; Reichel, L.
1
1999
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
55
1998
Tikhonov regularization for large scale problems. Zbl 0927.65058
Golub, Gene H.; von Matt, Urs
25
1998
Solution of biharmonic equations with application to radar imaging. Zbl 0933.65128
Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H.
24
1998
Parameter estimation in the presence of bounded data uncertainties. Zbl 0914.65147
Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H.
16
1998
A fast Poisson solver for the finite difference solution of the incompressible Navier-Stokes equations. Zbl 0957.76053
Golub, Gene H.; Huang, Lan Chieh; Simon, Horst; Tang, Wei-Pai
11
1998
Inner and outer iterations for the Chebyshev algorithm. Zbl 0911.65024
Giladi, Eldar; Golub, Gene H.; Keller, Joseph B.
8
1998
On the homotopy method for perturbed symmetric generalized eigenvalue problems. Zbl 0917.65035
Zhang, T.; Law, K. H.; Golub, G. H.
8
1998
Rank modifications of semidefinite matrices associated with a secant update formula. Zbl 0922.65031
Chu, Moody T.; Funderlic, R. E.; Golub, Gene H.
8
1998
Cyclic reduction – history and applications. Zbl 0921.65023
Gander, Walter; Golub, Gene H.
6
1998
Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Zbl 0910.00057
2
1998
Efficient solution of the Jacobian system in Newton’s method close to a root. Zbl 0921.65039
Drexler, Michael; Golub, Gene H.
1
1998
Eigenvalue perturbation and generalized Krylov subspace method. Zbl 0931.65039
Zhang, T.; Golub, G. H.; Law, K. H.
1
1998
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
46
1997
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
30
1997
Generalized cross-validation for large scale problems. Zbl 0878.65032
Golub, Gene H.; von Matt, Urs
22
1997
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
18
1997
On a variational formulation of the generalized singular value decomposition. Zbl 0891.65038
Chu, Moody T.; Funderlic, Robert. E.; Golub, Gene H.
13
1997
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
11
1997
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
10
1997
...and 137 more Documents
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Cited by 16,666 Authors

136 Reichel, Lothar
106 Wei, Yimin
69 Ma, Changfeng
68 Bai, Zhongzhi
68 Pan, Victor Yakovlevich
67 Huang, Ting-Zhu
64 Golub, Gene Howard
62 Zhang, Guofeng
57 Benner, Peter
57 Jódar Sanchez, Lucas Antonio
48 Khojasteh Salkuyeh, Davod
45 Ng, Michael Kwok-Po
45 Serra-Capizzano, Stefano
43 Van Barel, Marc
43 Van Dooren, Paul M.
42 Evans, David John
40 Jbilou, Khalide
40 Mehrmann, Volker
39 Simoncini, Valeria
38 Benzi, Michele
38 Dehghan Takht Fooladi, Mehdi
37 Axelsson, Axel Owe Holger
37 Liang, Zhaozheng
37 Wu, Shiliang
35 Jia, Zhongxiao
35 Li, Cuixia
34 Cao, Yang
34 Van Huffel, Sabine
33 Milovanović, Gradimir V.
33 Nakatsukasa, Yuji
32 Kressner, Daniel
32 Lin, Wen-Wei
32 Qi, Liqun
32 Wu, Yujiang
31 Chen, Guoliang
31 Li, Rencang
30 Huang, Zhengge
30 Yang, Aili
29 Jin, Xiaoqing
29 Wei, Musheng
28 Hajarian, Masoud
28 Sadkane, Miloud
28 Stoll, Martin
27 Cui, Jingjing
27 Mastronardi, Nicola
27 Saad, Yousef
26 Dai, Hua
26 Mitrouli, Marilena
26 Spalević, Miodrag M.
26 Vandebril, Raf
25 Chen, Fang
25 Martínez, José Mario
25 Wu, Gang
24 De Moor, Bart L. R.
24 Lu, Linzhang
24 Sadok, Hassane
24 Zheng, Bing
23 Bini, Dario Andrea
23 Calvetti, Daniela
23 Li, Wen
23 Zhang, Jin
22 Bai, Zhengjian
22 Gu, Chuanqing
22 Higham, Nicholas J.
22 Hu, Xiyan
22 Lin, Yiqin
22 Toutounian, Faezeh
22 Xiang, Hua
22 Zhang, Lei-Hong
21 Gemignani, Luca
21 Gondzio, Jacek
21 Liu, Xiaowei
21 Miao, Shu-Xin
21 Wathen, Andrew John
21 Wu, Qingbiao
20 Hansen, Per Christian
20 Nagy, James Gerard
20 Nechepurenko, Yuri M.
20 Pearson, John W.
20 Rodriguez, Giuseppe
20 Rojo, Oscar L.
20 Vuik, Cornelis
20 Wang, Xiang
20 Xu, Zhong
20 Ye, Qiang
19 Bai, Zhaojun
19 Barlow, Jesse L.
19 Ding, Feng
19 O’Leary, Dianne P.
19 Plemmons, Robert James
19 Zhang, Lei
18 Bentbib, Abdeslem Hafid
18 Chu, Moody T.
18 De Lathauwer, Lieven
18 Gautschi, Walter
18 Hadjidimos, Apostolos
18 Huang, Na
18 King-wah Chu, Eric
18 Meurant, Gérard A.
18 Saunders, Michael A.
...and 16,566 more Authors
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Cited in 797 Serials

1,064 Linear Algebra and its Applications
843 Journal of Computational and Applied Mathematics
552 Applied Mathematics and Computation
423 Journal of Computational Physics
410 Computers & Mathematics with Applications
396 Numerical Algorithms
313 Computer Methods in Applied Mechanics and Engineering
310 SIAM Journal on Scientific Computing
290 Numerische Mathematik
288 Applied Numerical Mathematics
271 SIAM Journal on Matrix Analysis and Applications
258 BIT
213 Mathematics of Computation
211 Automatica
198 International Journal of Computer Mathematics
192 Numerical Linear Algebra with Applications
170 Journal of Scientific Computing
124 Applied Mathematics Letters
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91 Mathematical Programming. Series A. Series B
90 International Journal of Control
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73 Advances in Computational Mathematics
71 Mathematical Problems in Engineering
70 Optimization Methods & Software
68 International Journal for Numerical Methods in Engineering
68 Pattern Recognition
67 Mathematical and Computer Modelling
66 Journal of Mathematical Imaging and Vision
64 Mathematics and Computers in Simulation
64 Systems & Control Letters
61 Engineering Analysis with Boundary Elements
60 Applied Mathematical Modelling
58 Journal of Mathematical Analysis and Applications
58 Journal of Econometrics
51 Inverse Problems
51 SIAM Journal on Optimization
49 Journal of the Franklin Institute
49 Journal of Applied Mathematics and Computing
49 East Asian Journal on Applied Mathematics
48 Computers and Fluids
47 Journal of Statistical Computation and Simulation
45 Japan Journal of Industrial and Applied Mathematics
44 Mathematical Programming
44 SIAM Journal on Imaging Sciences
42 SIAM Journal on Numerical Analysis
42 Circuits, Systems, and Signal Processing
41 Signal Processing
41 Communications in Statistics. Simulation and Computation
39 The Annals of Statistics
39 Theoretical Computer Science
39 ETNA. Electronic Transactions on Numerical Analysis
38 Applied and Computational Harmonic Analysis
37 Computational Mechanics
37 Journal of Machine Learning Research (JMLR)
36 Journal of Multivariate Analysis
36 European Journal of Operational Research
36 Inverse Problems in Science and Engineering
36 Statistics and Computing
35 Machine Learning
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28 SIAM Review
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27 Physica D
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26 SIAM/ASA Journal on Uncertainty Quantification
25 International Journal of Systems Science
25 Journal of Mathematical Physics
25 Journal of Statistical Planning and Inference
25 Journal of Economic Dynamics & Control
25 Communications in Statistics. Theory and Methods
25 Journal of Inequalities and Applications
25 The Annals of Applied Statistics
24 Journal of Fluid Mechanics
24 Numerical Methods for Partial Differential Equations
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
24 Frontiers of Mathematics in China
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23 Mathematical Biosciences
23 Annals of Operations Research
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